- Docente: Sergio Venturini
- Credits: 6
- SSD: SECS-S/06
- Language: English
- Teaching Mode: Traditional lectures
- Campus: Bologna
-
Corso:
Second cycle degree programme (LM) in
Statistical Sciences (cod. 6810)
Also valid for First cycle degree programme (L) in Economics, Politics and Social Sciences (cod. 5819)
First cycle degree programme (L) in Statistical Sciences (cod. 8873)
Second cycle degree programme (LM) in Statistical Sciences (cod. 9222)
-
from Nov 10, 2025 to Dec 15, 2025
Learning outcomes
By the end of the course the student learns the basic concepts and techniques of multivariate differential calculus. More specifically, the student is able to calculate partial derivatives, to find maxima and minima and to use the Lagrange multiplicator method.
Course contents
Basic properties of the Euclidean space. Partial derivatives and differentiable functions. Critical points. Derivation of composite functions. Multivariate Taylor’s formula. Hessian matrices. Critical points analysis. Implicit functions: Dini’s theorem. Submanifold of the Euclidean space . Critical points on submanifolds.
Readings/Bibliography
Material provided by the teacher
Teaching methods
Frontal lessons
Assessment methods
The examination consists of an oral examination. Will occur 'the student's competency both in terms of acquisition of concepts and methods, with application to concrete cases.
Teaching tools
Software "maxima"
Office hours
See the website of Sergio Venturini